44164412018944 has 288 divisors, whose sum is σ = 104655810861056. Its totient is φ = 18201921454080.

The previous prime is 44164412018929. The next prime is 44164412019061. The reversal of 44164412018944 is 44981021446144.

It is a junction number, because it is equal to n+sod(n) for n = 44164412018891 and 44164412018900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5859676744 + ... + 5859684280.

Almost surely, 2^{44164412018944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44164412018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52327905430528).

44164412018944 is an abundant number, since it is smaller than the sum of its proper divisors (60491398842112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44164412018944 is a wasteful number, since it uses less digits than its factorization.

44164412018944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 44164412018944 in words is "forty-four trillion, one hundred sixty-four billion, four hundred twelve million, eighteen thousand, nine hundred forty-four".